"RIV/61989592:15310/07:00004556!RIV08-MSM-15310___" . "436327" . . . "116-123" . "15310" . "1"^^ . "1"^^ . "Krupka, Demeter" . "Differential invariant; Lagrangian; Euler-Lagrange equations; Lepage form; conservation law."@en . . "P\u0159irozen\u00E9 varia\u010Dn\u00ED principy"@cs . . "Natural variational principles"@en . "RIV/61989592:15310/07:00004556" . "Natural variational principles" . "We study global variational principles on jet prolongations of fibred manifolds, whose Lagrangians are differential invariants. In particular, a relationship between solutions of the Euler-Lagrange equations and conservation laws, related with vector fields on the basis of underlying fibred manifolds, is established." . . . "P\u0159irozen\u00E9 varia\u010Dn\u00ED principy"@cs . . "8"^^ . "P(GA201/06/0922), Z(MSM6198959214)" . "We study global variational principles on jet prolongations of fibred manifolds, whose Lagrangians are differential invariants. In particular, a relationship between solutions of the Euler-Lagrange equations and conservation laws, related with vector fields on the basis of underlying fibred manifolds, is established."@en . . "World Scientific Publishing Company" . "Natural variational principles" . . . "978-981-277-616-7" . "Singapore" . . . "Natural variational principles"@en . . . . . . "V pr\u00E1ci jsou studov\u00E1ny varia\u010Dn\u00ED principy na jetov\u00FDch prolongac\u00EDch fibrovan\u00FDch variet s Lagrangi\u00E1ny, kter\u00E9 jsou diferenci\u00E1ln\u00EDmi invarianty. Je vyjasn\u011Bn vztah mezi \u0159e\u0161en\u00EDmi Eulerov\u00FDch-Lagrangeov\u00FDch rovnic a z\u00E1kony zachov\u00E1n\u00ED, asociovan\u00FDmi s vektorov\u00FDmi poli na b\u00E1z\u00EDch podkladov\u00FDch variet."@cs . . . "[0E96D8920BBA]" . "Proceedings of the International Conference on Symmetry and Perturbation Theory" .